Derivatives of basic trigonometric functions for JEE

Formula

\[\frac{d}{dx}(\sin x)=\cos x,\quad \frac{d}{dx}(\cos x)=-\sin x,\quad \frac{d}{dx}(\tan x)=\sec^2x,\quad \frac{d}{dx}(\cot x)=-\csc^2x\]

Variables: \(x\) in radians.

Conditions: At points where the functions are defined.

Routine differentiation and applications.